Infinitely long cylinder of radius R is made of an unusual exotic material with refractive index -1 (figure). The cylinder is placed between two planes whose normals are along the y-direction. The centre of the cylinder O lies along they-axis. A narrow laser beam is directed along the y-direction from the lower plate. The laser source is at a horizontal distance x from the diameter in the y direction. Find the range of x such that light emitted from the lower plane does not reach the upper plane.

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Payal Gupta | Contributor-Level 10

7 months ago

This is a long answer type question as classified in NCERT Exemplar

Since the material is of refractive index $μ - 1$ , $θ_{r}$ is negative and $θ_{r}$ is positive

| $θ_{t}$ |= | $θ_{r}$ |=| $θ_{r}$ |

Explanation- since the material is of refractive index $μ - 1$ , $θ_{r}$ is negative and $θ_{r}$ is positive

| $θ_{t}$ |= | $θ_{r}$ |=| $θ_{r}$ |

The total deviation of the outcoming ray f

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